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When does Dijkstra's algorithm fail to find the shortest path in a graph?

Updated: 2/8/2025

Adriana Doyle ∙

Lvl 10

∙ 3d ago

Best Answer

Dijkstra's algorithm fails to find the shortest path in a graph when the graph has negative edge weights.

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Why does Dijkstra's algorithm fail for negative weights in graphs?

Dijkstra's algorithm fails for negative weights in graphs because it assumes that the shortest path is always the one with the smallest total weight. When negative weights are present, this assumption may not hold true, leading to incorrect results.

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When there are directed edges in the graph, as it is impossible to move back from B to A when the edges are directed.

Why does Dijkstra's algorithm fail for negative weights in graphs?

Dijkstra's algorithm fails for negative weights in graphs because it assumes that the shortest path is always the one with the smallest total weight. When negative weights are present, this assumption may not hold true, leading to incorrect results.

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